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Positive stabilization of a parabolic equation by controls localized on a curve - MaRDI portal

Positive stabilization of a parabolic equation by controls localized on a curve (Q1413162)

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scientific article; zbMATH DE number 2003891
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Positive stabilization of a parabolic equation by controls localized on a curve
scientific article; zbMATH DE number 2003891

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    Positive stabilization of a parabolic equation by controls localized on a curve (English)
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    16 November 2003
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    The stabilization of the nonnegative solutions of a linear parabolic equation by controls localized on a curve is considered. The main results of the paper give a necessary and sufficient condition for the positive stabilizability in terms of the principal eigenvalue of a certain elliptic operator. In case of the positive stability, some feedback stabilizing controls are indicated.
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    feedback stabilizing controls
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    Rayleigh's principle
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